How do you solve #-14= - \frac { 7} { 2} w#?

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Answer 1 · 2017-03-10T07:11:21

#w = 4#

Multiply both sides of the equation by #-2/7#, the reciprocal of the constant in front of #w#, to isolate the variable:

#-14 * -2/7 = -2/7 * -7/2 w#

Simplify:

#-14/1 * -2/7 = w#

#(-14 * -2)/7 = w#

#28/7 = w#

#w = 4#

Answer 2 · 2017-03-10T13:55:12

#w=4#

#-14=-7/2w#

#-7/2w=-14/1#

#(-7w=-28)/2#

#(-7w)/2=-28/2#

multiply L.H.S and R.H.S.by 2

#-7w=-28#

multiply L.H.S and R.H.S.by # -1#

#7w=28#

#w=4#

check:

substitute# w=4#

#-14=-7/2(4)#

#-14=-28/2#

#:.-14=-14#